Open AccessBook
Handbook of mathematical fluid dynamics
Susan Friedlander,Denis Serre +1 more
TLDR
The Navier-Stokes System in Domians with Cylindrical Outlets to infinity (Konstantin Pileckas) and periodic homogenization problems in Incompressible Fluid Equations (Carlos Conca and M.R. Vanninathan).Abstract:
Preface On the Contact Topology and Geometry of Ideal Fluids (Robert Christ) Shock Reflection in Gas Dynamics (Denis Serre) The Mathematical Theory of the Incompressible Limit in Fluid Dynamics (Steven Schochet) Local Regularity Theory of Navier-Stokes Equations (Gregory Seregin) On the Influence of the Earth's Rotation on Geophysical Flows (Isabelle Gallagher and Laure Saint-Raymond) The Foundations of Oceanic Dynamics and Climate Modelling (George R. Sell) Mathematical Properties of the Solutions to the Equations Governing the Flow of Fluids with Pressure and Shear Rate Dependent Viscosities (Josef Malek and K.R. Rajagopal) Navier-Stokes System in Domians with Cylindrical Outlets to Infinity (Konstantin Pileckas) Periodic Homogenization Problems in Incompressible Fluid Equations (Carlos Conca and M. Vanninathan) Author Index Subject Indexread more
Citations
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Journal ArticleDOI
Statistical theory of magnetohydrodynamic turbulence: recent results
TL;DR: In this paper, the authors describe recent developments in statistical theory of magnetohydrodynamic (MHD) turbulence and discuss the role of magnetic helicity in the evolution of MHD turbulence.
Book ChapterDOI
Some Mathematical Problems in Geophysical Fluid Dynamics
TL;DR: In this paper, a review of the recently developed mathematical setting of the primitive equations (PEs) of the atmosphere, the ocean, and the coupled atmosphere and ocean is presented.
Journal ArticleDOI
Partial differential equations and stochastic methods in molecular dynamics
Tony Lelièvre,Gabriel Stoltz +1 more
TL;DR: This review describes how techniques from the analysis of partial differential equations can be used to devise good algorithms and to quantify their efficiency and accuracy.
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Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
Clément Mouhot,Lukas Neumann +1 more
TL;DR: For a general class of linear collisional kinetic models in the torus, including in particular the linearized Boltzmann equation for hard spheres, the linearised Landau equation with hard and moderately soft potentials and the semi-classical linearized fermionic and bosonic relaxation models, this paper proved explicit coercivity estimates on the associated integro-differential operator for some modified Sobolev norms, and deduced the existence of classical solutions near equilibrium for the full nonlinear models associated with explicit regularity bounds.
Journal ArticleDOI
On the regularity of the primitive equations of the ocean
Igor Kukavica,Mohammed Ziane +1 more
TL;DR: In this article, the existence of global strong solutions of the primitive equations of the ocean in the case of the Dirichlet boundary conditions on the side and the bottom boundaries including the varying bottom topography was proved.
References
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Book
Non-homogeneous boundary value problems and applications
TL;DR: In this paper, the authors consider the problem of finding solutions to elliptic boundary value problems in Spaces of Analytic Functions and of Class Mk Generalizations in the case of distributions and Ultra-Distributions.
Book
Infinite-Dimensional Dynamical Systems in Mechanics and Physics
TL;DR: In this article, the authors give bounds on the number of degrees of freedom and the dimension of attractors of some physical systems, including inertial manifolds and slow manifolds.
Book
Navier-Stokes Equations
TL;DR: Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected by selecting R2 from the groups consisting of lower alkylimino, cyclohexenyl-1 and lower alkynyl substituted cycloenenyl -1 as discussed by the authors.